Cylinder events - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-19T18:11:31Z http://mathoverflow.net/feeds/question/109315 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/109315/cylinder-events Cylinder events Mathstack 2012-10-10T18:21:01Z 2012-10-10T18:21:01Z <p>If E is countable. Let F be the power set of E. For some event A in F, is it true that the B_n below approximates A (as a Caratheodory extension)?</p> <p>B_n = { [w(0),w(1),w(2),..,w(n)] : w in A } </p> <p>I mean stronger, do B_n in a set theory sense converge to A?</p>